CN220248773U - Member reinforced star-shaped negative poisson ratio honeycomb structure - Google Patents

Member reinforced star-shaped negative poisson ratio honeycomb structure Download PDF

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CN220248773U
CN220248773U CN202321793984.4U CN202321793984U CN220248773U CN 220248773 U CN220248773 U CN 220248773U CN 202321793984 U CN202321793984 U CN 202321793984U CN 220248773 U CN220248773 U CN 220248773U
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star
shaped
cell
cell walls
negative poisson
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宋鸿炜
张威
胡浩智
李金泽
严子健
安彤
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Wuhan University of Science and Engineering WUSE
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Wuhan University of Science and Engineering WUSE
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Abstract

The utility model provides a bar enhanced star-shaped negative poisson ratio honeycomb structure, which comprises a plurality of quadrangle star-shaped single cells periodically arranged in the same plane, wherein each star-shaped single cell is a hollow closed structure surrounded by a plurality of cell walls, wherein two concave angles of the star-shaped single cells in an odd number row are communicated by one cell wall, and the star-shaped single cells are divided into two hollow areas; the four-corner star-shaped unit cell consists of eight inclined cell walls, every two cell walls are connected together through the same angle, so that a central symmetrical star-shaped unit cell is finally formed, two unit cells which are adjacent up and down are placed in the same x-axis coordinate, a diamond hollow area is formed in the middle, the left unit cell and the right unit cell are arranged in a staggered mode, and one inclined cell wall is shared between every two unit cells. The novel structure has obvious negative poisson's ratio effect in the vertical direction and has better bearing capacity and energy absorption efficiency compared with the traditional star structure.

Description

Member reinforced star-shaped negative poisson ratio honeycomb structure
Technical Field
The utility model relates to the technical field of mechanical metamaterial design, in particular to a bar reinforced star-shaped negative poisson ratio honeycomb structure.
Background
Modern technology has increasingly high requirements on materials, and traditional materials cannot meet specific requirements. Negative poisson's ratio materials/structures have special physical, mechanical and deformation properties. For example, negative poisson's ratio materials have the property of expanding in tension or contracting in compression compared to conventional materials; the negative poisson's ratio effect can improve the mechanical properties of the material, including shear modulus, energy absorption, resistance to indentation, crashworthiness, etc. Therefore, the negative poisson's ratio material can be applied to various fields of medical treatment, protective equipment, aerospace, sports, construction and the like.
Because the natural negative poisson ratio materials are few in variety and are difficult to be directly applied to practice, an artificially designed method becomes a main way, a great deal of researches at present have designed various single cell structures, analysis and experiments are carried out on the structures, and the common negative poisson ratio single cell structures mainly comprise: double arrow structures, concave hexagonal structures, star structures, chiral/achiral structures, etc.
These existing structures have good negative poisson ratio effect, but some structures do not achieve good effect in bearing capacity, so a bar-reinforced star-shaped negative poisson ratio honeycomb structure capable of obviously improving bearing capacity is provided for the traditional star-shaped negative poisson ratio honeycomb structure.
In order to fully exert the mechanical property of the negative poisson ratio structure, the design of the novel material is more targeted through the transformation and innovation of the traditional configuration, the improvement of the configuration bearing capacity is realized on the basis of the traditional negative poisson ratio configuration, the stability of the structure is enhanced, the stress and the energy absorption efficiency of the platform are improved, and meanwhile, a novel thought is provided for the research of the negative poisson ratio material.
Disclosure of Invention
Aiming at the defects, the utility model provides a rod enhanced star-shaped negative poisson ratio honeycomb structure, which has obvious negative poisson ratio effect when being loaded in the vertical direction, and compared with the traditional star-shaped single cell structure, the utility model increases the transformation of a deformation mode, thereby improving the bearing capacity and the energy absorption efficiency of the structure.
In order to solve the technical problems, the utility model adopts the following technical scheme:
a bar enhanced star-shaped negative poisson ratio honeycomb structure comprises a plurality of quadrangle star-shaped single cells which are periodically arranged in the same plane, wherein each star-shaped single cell is a closed structure which is surrounded by a plurality of cell walls and is internally provided with a quadrangle star-shaped hollow area, and the quadrangle star-shaped area is equally divided into two symmetrical hollow areas by one vertical cell wall;
each radial unit cell consists of eight equal-inclined cell walls and one vertical cell wall, the equal-inclined cell walls and the vertical cell walls are rod pieces, every two inclined cell walls are connected with each other to form a concave arrow structure to form a quadrangle star, and the vertical cell walls are connected with two concave arrows on the upper side and the lower side of the unit cell and coincide with the axis of the radial unit cell.
Further, the adjacent radial unit cells share an inclined cell wall, and the two adjacent radial unit cells are positioned on the same vertical line and form a closed hollow diamond area in the middle.
Further, the four-corner star-shaped hollow area formed by eight equal-inclined cell walls is centrosymmetric.
Further, in one radial cell, the vertex angles of the two concave arrow structures which are bilaterally symmetrical are not contacted, and the vertex angles of the two concave arrow structures which are vertically symmetrical are not contacted.
Further, the rod diameters of the inclined cell wall and the vertical cell wall are the same.
Further, the cross sections of the inclined cell walls and the vertical cell walls are rectangular.
Furthermore, the radial unit cell is made of aluminum alloy.
After the technical scheme is adopted, compared with the prior art, the utility model has the following advantages:
when the bar enhanced star-shaped negative poisson ratio honeycomb structure is compressed in the vertical direction, obvious transverse shrinkage deformation occurs, the characteristic of negative poisson ratio is presented, inclined cell walls on two sides of a quadrangle star-shaped unit cell are rotated and gathered inwards along with the compression, a diamond-shaped gap between an upper adjacent quadrangle star-shaped unit cell and a lower adjacent quadrangle star-shaped unit cell is compressed to disappear, and the bar enhanced star-shaped negative poisson ratio honeycomb structure is deformed into an inward concave hexagonal (I-shaped like) honeycomb structure supported by the bar and enters a compression second stage, so that the bar enhanced star-shaped negative poisson ratio honeycomb structure can be compressed in the vertical direction in two obvious platform stress stages, and the deformation presents obvious stability.
The bar enhanced star-shaped negative poisson ratio honeycomb structure has obvious negative poisson ratio effect when being compressed in the vertical direction, improves the bearing capacity and the energy absorption efficiency of the structure compared with the traditional star-shaped structure, and can be applied to the fields of aerospace, protective equipment, automobiles, national defense engineering and the like.
The utility model will now be described in detail with reference to the drawings and examples.
Drawings
FIG. 1 is a schematic plan view of a "fully supported" model of the bar-reinforced star structure of the present utility model;
FIG. 2 is a schematic plan view of the structure of the rod-reinforced star-shaped supporting unit 1 of the present utility model;
FIG. 3 is a schematic plan view of a "semi-supported" model of the bar-reinforced star-shaped structure of the present utility model;
FIG. 4 is a schematic plan view of a conventional unit cell 2 structure of the bar reinforced star structure of the present utility model;
FIG. 5 is a schematic plan view of a bar-reinforced radial structure supporting unit cell 1 according to an embodiment of the present utility model;
FIG. 6 is a schematic diagram of parameters for a novel supporting unit cell 1;
FIG. 7 is a schematic view of the vertical finite element loading of the "fully supported" model of the present utility model;
FIG. 8 is a schematic view of vertical finite element loading of a "semi-support" model of the present utility model;
FIG. 9 is a graph of a digitally simulated deformation process (sequentially from a to f) of a "fully supported" model of the bar-reinforced star structure of the present utility model when compressed in the vertical direction;
FIG. 10 is a graph of a digitally simulated deformation process (sequentially from a to f) of a "semi-supported" model of a rod reinforced star structure of the present utility model when compressed in the vertical direction;
FIG. 11 is a graph of Poisson's ratio versus strain for a "fully supported" model, a "semi-supported" model, and a conventional star under the same parameters for a rod-reinforced star under vertical compressive loading;
FIG. 12 is a graph of nominal stress-strain for a "fully supported" model, a "semi-supported" model, and a conventional star under the same parameters for a bar-reinforced star under vertical compressive loading;
fig. 13 is an energy absorption-strain graph for a "fully supported" model, a "semi-supported" model, and a conventional star structure under vertical compressive loading for the same parameters for a rod reinforced star structure.
In the drawings, the list of components represented by the various numbers is as follows:
1. the rod piece enhances the star-shaped unit cell; 11. star-shaped inclined cell walls; 111. a first sloped wall; 112. a second sloped cell wall; 113. a third sloped cell wall; 114. fourth sloped walls; 115. a fifth sloped cell wall; 116. a sixth sloped cell wall; 117. seventh sloped walls; 118. eighth sloped cell walls; 12. vertical cell walls.
Detailed Description
The principles and features of the present utility model are described below with reference to the drawings, the examples are illustrated for the purpose of illustrating the utility model and are not to be construed as limiting the scope of the utility model.
In the description of the present utility model, it should be noted that the directions or positional relationships indicated by the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc. are based on the directions or positional relationships shown in the drawings, are merely for convenience of describing the present utility model and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present utility model.
As shown in fig. 1 and 2, the bar-reinforced star-shaped negative poisson ratio honeycomb structure comprises a plurality of bar-reinforced star-shaped single cells 1 which are periodically arranged in the same plane, wherein each bar-reinforced star-shaped single cell 1 is a closed structure which is surrounded by a plurality of outer cell walls and is internally provided with a star-shaped area;
the rod enhanced star-shaped unit cell 1 comprises eight inclined cell walls 11 and one vertical cell wall 12, wherein each two inclined cell walls 11 are connected with each other to form an arrow structure to form a quadrangle star, the vertical cell walls 12 are connected with two inward concave arrows on the upper side and the lower side of the unit cell, and two ends of each inclined cell wall 11 are respectively connected with the top ends or the bottom ends of the adjacent inclined cell walls, so that a closed structure which is symmetrical in the upper side, the lower side, the left side and the right side and concave is formed.
As shown in fig. 1, as an embodiment, there is no gap between the left and right adjacent rod-reinforced radial cells 1, a diamond-shaped gap is formed between the upper and lower adjacent rod-reinforced radial cells 1, the upper and lower adjacent rod-reinforced radial cells 1 are connected by end points, and the left and right adjacent rod-reinforced radial cells 1 share one inclined cell wall 11. The rod reinforced radial unit cells 1 are alternately arranged to form a full support model.
As shown in fig. 3 and 4, the conventional star-shaped negative poisson ratio honeycomb structure comprises a plurality of unit cells 2 periodically arranged in the same plane, wherein the unit cells 2 are enclosed by a plurality of outer cell walls and are internally provided with a closed structure of a star-shaped area.
As shown in fig. 3, as an embodiment, there is no gap between the left and right adjacent rod-reinforced radial unit cell 1 and the radial unit cell 2, a diamond-shaped gap is formed between the upper and lower adjacent rod-reinforced radial unit cells 1, the upper and lower adjacent rod-reinforced radial unit cells 1 are connected by end points, and the left and right adjacent rod-reinforced radial unit cells 1 and the radial unit cell 2 share one inclined cell wall. Column units composed of the rod reinforced star-shaped unit cells 1 and column units composed of the star-shaped unit cells 2 are alternately arranged to form a semi-supporting model. In order to make the structure symmetrical, the influence of the boundary on the experiment is reduced, and the column number of the unit cell 1 is equal to the column number of the unit cell 2 plus one.
The unit cells are combined by means of copying movement so as to ensure that each unit cell has the same structure and size. The overall size of the honeycomb structure can be adjusted by the length and height of the unit cells and the number of periodic arrangements so as to adapt to different engineering application requirements.
As an embodiment, the cell 2 has the same structure as the outer cell wall of the cell 1.
As an embodiment, the wall thicknesses of the inclined cell wall 11, the inclined cell wall 21 and the vertical cell wall 12 and are all t.
As an embodiment, the cross sections of the inclined cell walls 11, 12 and the vertical cell walls 12 are rectangular.
As shown in FIG. 6, the inclined cell wall 11 has a length L 1 Length L 0 Height H 0 From the wall length L 1 Together with the angle α, the vertical cell wall 12 has a length L 2 ,L 2 From length L 0 And an angle alpha, an angle beta is determined by the angle alpha, L 0 And H 0 The calculation formula of (2) is as follows:L 2 the calculation formula of (2) is as follows: />The calculation formula of beta is as follows: β=pi- α.
In this embodiment, the specific dimensions of the rod-reinforced radial cells are: l (L) 1 =5mm,α=120°,t=0.5mm。
As an embodiment, the rod-reinforced radial cells 1 and 2 are made of an aluminum alloy.
In the present embodiment, as shown in fig. 5, the inclined cell wall 11 includes a first inclined cell wall 111; a second sloped wall 112; a third sloped cell wall 113; fourth sloped cell wall 114; a fifth sloped cell wall 115; sixth sloped cell wall 116; seventh sloped cell wall 117; eighth sloped cell wall 118;
the first inclined cell wall 111 and the second inclined cell wall 112 are arranged on the upper side of the rod reinforced star-shaped single cell 1, the bottom end of the first inclined cell wall 111 is connected with the top end of the second inclined cell wall 112, the first inclined cell wall 111 and the second inclined cell wall 112 are combined to form a V-shaped concave arrow structure, the sixth inclined cell wall 116 and the fifth inclined cell wall 115 are arranged on the lower side of the rod reinforced star-shaped single cell 1, the bottom end of the sixth inclined cell wall 116 is connected with the top end of the fifth inclined cell wall 115, the sixth inclined cell wall 116 and the fifth inclined cell wall 115 are combined to form a V-shaped concave arrow structure, and the V-shaped concave arrow structure and the inverted V-shaped arrow bending structure are mutually symmetrical up and down;
the eighth inclined cell wall 118 and the seventh inclined cell wall 117 are arranged on the left side of the rod enhanced radial unit cell 1, the bottom end of the eighth inclined cell wall 118 is connected with the top end of the seventh inclined cell wall 117, the eighth inclined cell wall 118 and the seventh inclined cell wall 117 are combined to form a 'concave arrow structure, the third inclined cell wall 113 and the fourth inclined cell wall 114 are arranged on the right side of the rod enhanced radial unit cell 1, the bottom end of the third inclined cell wall 113 is connected with the top end of the fourth inclined cell wall 114, the third inclined cell wall 113 and the fourth inclined cell wall 114 are combined to form a' concave arrow structure, and the 'concave arrow structure and the' arrow bending structure are mutually symmetrical left and right;
the first vertical cell wall 12 is arranged in the middle of the rod enhanced radial unit cell 1, the top end of the first vertical cell wall 12 is connected with the intersection point of the first inclined cell wall 111 and the second inclined cell wall 112, the first vertical cell wall 12 coincides with the external concave angle bisector of the first inclined cell wall 111 and the external concave angle bisector of the second inclined cell wall 112 to form a Y-shaped structure, the bottom end of the first vertical cell wall 12 is connected with the intersection point of the sixth inclined cell wall 116 and the fifth inclined cell wall 115, the first vertical cell wall 12 coincides with the external concave angle bisector of the sixth inclined cell wall 116 and the external concave angle bisector of the fifth inclined cell wall 115 to form a inverted Y-shaped structure, and the Y-shaped structure and the inverted Y-shaped structure are mutually symmetrical up and down.
In order to compare the energy absorption characteristics of the bar enhanced star-shaped negative poisson ratio honeycomb structure, a traditional star-shaped honeycomb structure is selected as comparison. The numerical simulation calculation is carried out by adopting ABAQUS/Explicit nonlinear dynamic Explicit analysis finite element software. The honeycomb test piece is placed between two rigid plates. The honeycomb material is aluminum alloy, an ideal elastoplastic material model is adopted, the out-of-plane thickness along the z-axis direction is 2mm, and the rigid plates are defined as rigid bodies. In the calculation process, the bar reinforced star-shaped negative poisson ratio honeycomb structure adopts an S4R shell unit, and 5 integration points are defined along the thickness direction to ensure calculation accuracy and convergence. And finally determining the grid size to be 0.5mm through multiple trial calculations and sensitivity analysis. The whole model adopts a general contact algorithm, and the friction coefficient is 0.2.
In order to ensure that the finite element simulation of the bar reinforced star-shaped negative poisson ratio honeycomb structure is not influenced by the size effect, as shown in fig. 7 and 8, the unit cell numbers in the vertical direction and the horizontal direction are respectively 7 and 9 when being loaded in the vertical direction.
As shown in fig. 9, the deformation process of the "fully supported" model is mainly divided into two stages when subjected to vertical load; a first deformation stage: when the strain exceeds the elastic stage, the outer cell walls of the rod enhanced star-shaped single cells are rotated and gathered inwards, the boundary single cells are deformed firstly to form an I-shaped structure horizontal deformation zone, the deformation zone is gradually increased along with the compression, extends to the middle part of the model, and the model presents a negative Poisson ratio effect along with the transverse shrinkage deformation. In the course of rotational deformation of the inclined cell walls, no significant change occurs in the vertical cell walls. A second deformation stage: when all the rod members are used for reinforcing the up-down inclined cell walls of the radial unit cell 1 to rotate to be horizontal, the structure is deformed into densification belts which are alternately arranged like an I-shaped structure, and the densification belts gradually expand towards the fixed end.
As shown in fig. 10, the deformation process of the "semi-supporting" model is mainly divided into two stages when subjected to vertical load; a first deformation stage: when the strain exceeds the elastic stage, the outer cell walls of the rod enhanced star-shaped single cells are gathered inwards in a rotating way, the single cells at the boundary deform firstly to form a horizontal deformation zone with an I-shaped structure and a diamond-shaped structure which are alternated, the deformation zone is gradually increased along with the compression, extends to the middle part of the model, and the model presents a negative Poisson ratio effect along with the transverse shrinkage deformation. In the course of rotational deformation of the inclined cell walls, no significant change occurs in the vertical cell walls. A second deformation stage: when all the rod members are used for reinforcing the up-down inclined cell walls of the radial unit cell 1 to rotate to be horizontal, the structure is deformed into densification belts which are arranged alternately like an I-shaped structure and a diamond shape, and the densification belts gradually expand towards the fixed end.
As shown in fig. 11, a plot of nominal poisson's ratio versus strain for the inventive bar-reinforced star "fully supported" model and "semi-supported" model is given. As can be seen from fig. 11, the bar-reinforced star structure has a negative poisson's ratio effect when subjected to a vertical load.
As shown in fig. 12, a nominal stress-strain curve diagram of the bar reinforced star structure "full support" model, "half support" model and the conventional star structure under the load in the vertical direction is provided, and the loading speed is 1mm/s. As can be seen from fig. 12, the present bar-reinforced star structure has two stages of platform stress, the first stage; the outer cell wall of the rod reinforced star-shaped structure is rotationally deformed, and the second stage of stress: the rod member reinforced star cell vertical cell wall and deformed outer cell wall form an I-shaped structure which yields under the action of in-plane compression load. As shown in fig. 12, the second stress plateau of the "full-bar" model is higher than the second stress plateau of the "half-bar" model.
As shown in fig. 13, a graph of energy absorption-strain for the bar-reinforced star "fully supported" model, "semi-supported" model and conventional star under vertical loading is given. As can be seen from fig. 13, the energy absorbing effect of the bar-reinforced star-shaped structure is superior to that of the conventional structure, and the energy absorbing effect of the "fully supported" model is also superior to that of the "half supported" model.
Compared with the traditional star-shaped structure, the utility model has the advantages that two stress platform stages appear in the vertical compression process, and stress enhancement appears in the second platform stage, so that the structure can respectively cope with small energy impact and large energy impact, the energy absorption performance and efficiency are obviously enhanced, the deformation is stable, and the shock resistance of the structure is greatly improved.
The foregoing is illustrative of the best mode of carrying out the utility model, and is not presented in any detail as is known to those of ordinary skill in the art. The protection scope of the utility model is defined by the claims, and any equivalent transformation based on the technical teaching of the utility model is also within the protection scope of the utility model.

Claims (7)

1. The bar enhanced star-shaped negative poisson ratio honeycomb structure is characterized by comprising a plurality of quadrangle star-shaped single cells (1) which are periodically arranged in the same plane, wherein each star-shaped single cell (1) is a closed structure which is formed by a plurality of cell walls in a surrounding manner and is internally provided with quadrangle star-shaped hollow areas, and each quadrangle star-shaped area is equally divided into two symmetrical hollow areas by one vertical cell wall;
each radial unit cell (1) is composed of eight equal-inclined cell walls (11) and one vertical cell wall (12), the equal-inclined cell walls (11) and the vertical cell walls (12) are rod pieces, every two inclined cell walls (11) are connected with each other to form a concave arrow structure to form a quadrangle star, the vertical cell walls (12) are connected with two concave arrows on the upper side and the lower side of the unit cell and coincide with the axis of the radial unit cell (1), and two ends of the inclined cell walls (11) of each radial unit cell (1) are connected end to end in sequence.
2. The bar-reinforced star-shaped negative poisson ratio honeycomb structure according to claim 1, characterized in that the adjacent star-shaped cells (1) on the left and right share one inclined cell wall (11), and the two adjacent star-shaped cells (1) on the upper and lower lie on the same vertical line and form a closed hollow diamond region in the middle.
3. The bar-reinforced star-shaped negative poisson ratio honeycomb structure according to claim 1, characterized in that the four-corner star-shaped hollow area consisting of eight equi-inclined cell walls (11) is centrosymmetric.
4. The bar-reinforced star-shaped negative poisson ratio honeycomb structure according to claim 1, wherein in one star cell (1), the apex angles of two concave arrow structures symmetrical left and right are not in contact, and the apex angles of two concave arrow structures symmetrical up and down are not in contact.
5. Bar-reinforced star-shaped negative poisson ratio honeycomb structure according to claim 1, characterized in that the bar diameters of the inclined cell walls (11) and the vertical cell walls (12) are the same.
6. Bar reinforced star-shaped negative poisson ratio honeycomb according to claim 1, characterized in that the cross-sections of the inclined cell walls (11) and vertical cell walls (12) are rectangular.
7. The rod reinforced star-shaped negative poisson ratio honeycomb structure according to claim 1, wherein the radial cells (1) are made of aluminum alloy.
CN202321793984.4U 2023-07-10 2023-07-10 Member reinforced star-shaped negative poisson ratio honeycomb structure Active CN220248773U (en)

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